Automatic analysis method for tensioning sequence of cable structure under limited equipment

Abstract

The application relates to a method for automatically analyzing the tensioning sequence of a cable structure under limited equipment. The method comprises the following steps: establishing a finite element model of the cable structure; using the cooling method to perform shape finding analysis on the cable structure; selecting a plurality of cables with the maximum difference temperature values as the first batch of cables according to the number of equipment; performing iterative calculation on the first batch of cables to obtain the temperature of the first batch of cables; updating the difference temperature and sorting the remaining cables, and selecting a plurality of cables with the maximum difference temperature as the next batch of cables according to the number of equipment; repeating the above operation until the difference temperature of all the cables is 0, the cable force of the cables reaches the target value, and the cable tensioning process is completed. Compared with the prior art, the application has the advantages that the cable tensioning process can be automatically generated according to the number of equipment and the equipment parameters.

Description

Technical Field

[0001] This invention relates to the field of building engineering technology, and in particular to an automatic analysis method for the tensioning sequence of cable structures under limited equipment. Background Technology

[0002] Cable-stayed glass curtain walls are widely used in urban buildings due to their unobstructed views and ease of construction. A single-layer cable-stayed glass curtain wall consists of glass panels, a cable structure, and the main structure connected to them. Because of the cable structure, cable-stayed glass curtain walls occupy less space, increasing the utilization rate of building area and saving space for the supporting structure. Their stress distribution has been improved and innovated, reducing the requirements for the supporting structure.

[0003] The analysis of the tensioning process and deformation calculation during the construction phase of cable-stayed structures are the key and challenging aspects of cable-stayed structure analysis. A cable-stayed structure consists of numerous cables and the main structure at their connection boundaries. The structure is unified by the tension of the cables, thus achieving a certain in-plane stiffness. Typically, due to constraints such as limited operating space and equipment, cable-stayed structures cannot be tensioned to the desired state in one go and require phased tensioning. Furthermore, deformation gradually accumulates at the connection boundaries of the cables during tensioning, causing the tension of previously installed cables to loosen due to later tensioning. Therefore, previously installed cables require multiple tensioning and over-tensioning to ensure that the actual cable force reaches the design value after tensioning. Because of the significant differences in the geometric systems between cable-stayed structures, there is currently no universal algorithm for analyzing the tensioning process of cable-stayed structures. Cable tensioning construction schemes usually need to be designed individually based on the characteristics of the cable-stayed structure.

[0004] Currently, the commonly used cable tensioning process design schemes are carried out under ideal conditions, ignoring limitations such as the number of on-site equipment and the allowable tensile force of the equipment. In reality, the tensioning construction process often cannot be carried out according to the design scheme. Therefore, it is necessary to design a cable structure tensioning scheme that is suitable for situations where the number of equipment and the maximum tensile force of the equipment are limited. This scheme should make full use of existing tensioning equipment, reduce equipment parameter requirements, and ensure efficient and rapid construction procedures. Summary of the Invention

[0005] The purpose of this invention is to overcome the shortcomings of the existing technology and provide an automatic analysis method for the tensioning sequence of cable structures under limited equipment.

[0006] The objective of this invention can be achieved through the following technical solutions:

[0007] This invention discloses an automatic analysis method for the tensioning sequence of cable-stayed structures under limited equipment conditions. The method is implemented in ANSYS software using the APDL language and includes the following steps:

[0008] S1. Establish a finite element model of the cable structure and use bar elements to simulate the cable force and tensioning process;

[0009] S2. Based on the target cable structure, the cooling method is used to perform form-finding analysis on the cable structure, and the deformation of the structure and the cable force after the cable tension is completed are calculated. The temperature corresponding to the cable force is the target temperature.

[0010] S3. Set the stage temperature of all cables to 0, set the temperature parameter of the cables to the current stage temperature, and the difference between the stage temperature and the target temperature is the difference temperature. Sort the difference temperatures and select the cables with the largest difference temperature value as the first batch of cables according to the number of tensioning devices.

[0011] S4. Apply cable force to the first batch of cables and perform iterative calculations to obtain the calculated temperature of the first batch of cables; if the calculated temperature is lower than the target temperature, set the calculated temperature as the stage temperature of the first batch of cables; if the calculated temperature is higher than the target temperature, set the target temperature as the stage temperature of the first batch of cables.

[0012] S5. Update the temperature difference and sort the remaining cables. Select the cable with the largest temperature difference as the next batch of cables based on the number of tensioning devices. Apply cable force to the next batch of cables and perform iterative calculations. Obtain the stage temperature of the next batch according to the temperature judgment rule in S4.

[0013] S6. Repeat the operation of S5 until the stage temperature of all cables is equal to the target temperature, the temperature difference is 0, and the cable force reaches the target cable force value. The tensioning sequence and cable force value of the cables are obtained. The tensioning sequence of the cables is automatically analyzed.

[0014] Furthermore, the rod unit mentioned in S1 is a Link10 unit.

[0015] Furthermore, the Link10 unit changes its length by adjusting the temperature parameter, thereby altering the cable force and tensioning process of the simulated cable.

[0016] Furthermore, the application of cable force described in S4 includes: using the tension force within the tension range of the tensioning device as the cable force.

[0017] Furthermore, the applied cable force is the maximum tension of the tensioning device.

[0018] Furthermore, in step S4, if the calculated temperature of the cable is lower than the target temperature, the cable will be tensioned a second time.

[0019] Furthermore, the cable force is calculated based on the stage temperature of the cable.

[0020] Furthermore, the number of cables is less than the product of the number of cable tensioning devices and the number of cable tensioning batches.

[0021] Furthermore, the cables in later batches are derived from the cables in earlier batches.

[0022] Furthermore, by adjusting the number and parameters of the tensioning equipment, the corresponding cable tensioning sequence can be obtained.

[0023] Compared with the prior art, the present invention has the following beneficial effects:

[0024] 1. This invention, through its automatic iterative analysis method, reduces the number of cable tensioning batches, allowing for the full utilization of a small number of tensioning devices to achieve rapid tensioning of cable structures. This reduces equipment parameter requirements and ensures maximum efficiency with a limited number of devices, thereby guaranteeing construction efficiency.

[0025] 2. The automatic analysis algorithm based on the parameter method of this invention is applicable to the tensioning process analysis of flexible boundary cable structures. It has the characteristics of strong applicability, can perform automatic analysis under different conditions, and is easy to adjust. In the actual tensioning construction process, it can efficiently and quickly obtain the design scheme of cable tensioning sequence for cable structures. Attached Figure Description

[0026] Figure 1 This is a schematic diagram of the method flow of the present invention;

[0027] Figure 2 This is a schematic diagram of the finite element model of the cable structure of the present invention;

[0028] Figure 3 This is a schematic diagram of the form-finding analysis results of the cable structure of the present invention;

[0029] Figure 4 This is a flowchart illustrating the automatic calculation process for the tensioning sequence in this invention.

[0030] Figure 5 This is a schematic diagram of the main cable structure model in this embodiment;

[0031] Figure 6 This is a schematic diagram of the overall cable structure in this embodiment;

[0032] Figure 7 This is a schematic diagram of the overall deformation of the cable structure in this embodiment;

[0033] Figure 8 This is a schematic diagram of the cable tensioning number for each batch in this embodiment (solid dots represent the cable number for this batch);

[0034] Figure 9 This is a schematic diagram of the structural deformation after the first batch of cables were tensioned in this embodiment;

[0035] Figure 10 This is a schematic diagram of the cable force values ​​after the first batch of tensioning in this embodiment;

[0036] Figure 11 This is a schematic diagram of the structural deformation after tensioning the second batch of cables in this embodiment;

[0037] Figure 12 This is a schematic diagram of the cable force values ​​after the second batch of tensioning in this embodiment;

[0038] Figure 13 This is a schematic diagram of the structural deformation after tensioning the third batch of cables in this embodiment;

[0039] Figure 14 This is a schematic diagram of the cable force values ​​after the third batch of tensioning in this embodiment;

[0040] Figure 15 This is a schematic diagram of the structural deformation after the fourth batch of cables is tensioned in this embodiment;

[0041] Figure 16 This is a schematic diagram of the cable force values ​​after the fourth batch of tensioning in this embodiment;

[0042] Figure 17 This is a schematic diagram of the structural deformation after tensioning the fifth batch of cables in this embodiment;

[0043] Figure 18 This is a schematic diagram of the cable force values ​​after the fifth batch of tensioning in this embodiment;

[0044] Figure 19 This is a schematic diagram of the structural deformation after tensioning the sixth batch of cables in this embodiment.

[0045] Figure 20 This is a schematic diagram of the cable force values ​​after the sixth batch of tensioning in this embodiment;

[0046] Figure 21 This is a schematic diagram of the structural deformation after tensioning of the seventh batch of cables in this embodiment;

[0047] Figure 22 This is a schematic diagram of the cable force values ​​after the seventh batch of tensioning in this embodiment. Detailed Implementation

[0048] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments. These embodiments are based on the technical solution of the present invention and provide detailed implementation methods and specific operating procedures. However, the scope of protection of the present invention is not limited to the following embodiments.

[0049] Example

[0050] like Figure 5As shown in the figure, this embodiment discloses an automatic analysis method for the tensioning sequence of cable structures under finite element conditions. This method is implemented in ANSYS software using the APDL language. ANSYS software is a large-scale general-purpose finite element analysis software that integrates structural, fluid, electric field, magnetic field, and acoustic field analysis. It has wide applications in nuclear industry, railway, petrochemical, aerospace, machinery manufacturing, energy, automotive transportation, national defense, electronics, civil engineering, shipbuilding, biomedicine, light industry, geology and mining, water conservancy, and household appliances.

[0051] APDL (Ansys Parametric Design Language) is a programming language in ANSYS that can completely replace GUI operations. It can also perform operations such as loops (*do), conditional statements (*if), conditional statements (*dowhile), and file reading and writing (*vread and *vwrite). It is easy to modify, facilitates parametric and process-oriented analysis, has a high degree of automation in modeling and calculation, is easy to modify and debug, and is less prone to errors.

[0052] The actual cable-stayed structure in the project is a frame structure, with upper and lower beams and left and right columns all using rectangular sections of 500mm × 500mm. The total height of the structure is 10m, and the total width is 30m. The main structure is made of concrete with an elastic modulus of 3.6 × 10⁻⁶. 4 MPa; the cable material is steel strand with a cross-sectional area of ​​14mm². 2 The elastic modulus is 2.06 × 10⁻⁶. 5 MPa. The overall model of the cable structure is as follows: Figure 6 As shown, there are 29 cables, spaced 1 meter apart. The 29 cables are numbered as follows: Figure 8 As shown, the numbers are 1 to 29 from left to right. There are a total of 6 sets of tensioning equipment, with a maximum tension of 80kN and a target cable force of 70kN.

[0053] The method specifically includes the following steps:

[0054] Step 1: Based on the structure, establish a finite element model of the cable structure. Use Link10 elements to simulate the cable. Link10 elements are widely used in engineering and can be used to simulate tension members such as cables. This three-dimensional rod element is a tension / compression element along the rod axis. Each node has three degrees of freedom (X / Y / Z). It does not transmit or bear bending moments, but its stress mode can be changed by adjusting parameters. It can be subjected to tension only, compression only, or both tension and compression simultaneously. It has large deformation capabilities and stress hardening effects. This element exhibits temperature deformation; the coefficient of linear expansion can be set, and the element length can be changed by temperature parameters to simulate the tensioning process of the cable.

[0055] Step 2: Perform form-finding analysis on the cable structure using the cooling method to calculate the deformation and cable force after tensioning. The temperature of each cable in this state is the target temperature. The deformation analysis results are as follows: Figure 7 As shown, the maximum displacement is 97mm.

[0056] Step 3: Set the stage temperature of all cables to 0, set the temperature parameter of the cables to the current stage temperature, and the difference between the stage temperature and the target temperature is the difference temperature. Sort the difference temperatures and select the 6 cables with the largest difference temperature values ​​as the first batch of cables according to the number of equipment, that is, the 6 cables numbered 13 to 18.

[0057] Step 4: Iteratively calculate the cable force equal to the maximum allowable tension of the equipment applied to the first batch of cables to obtain the calculated temperature when the first batch of cables is subjected to a force of 80KN. At this point, the calculated temperature of the first batch of cables is higher than the target temperature, so the target temperature is set as the stage temperature of the first batch of cables. Figure 9 and Figure 10 As shown, the first batch of cables are numbered 13 to 18, with a cable force of 80KN, which is greater than the target cable force. After the first batch of cables is tensioned, the maximum displacement of the main cable structure at mid-span is 38.4mm.

[0058] Step 5: Update the temperature difference values ​​and sort them. The first batch of cables numbered 13-18 has a cable tension of 80 kN, while the remaining cables numbered 1-12 and 19-29 have a cable tension of 0 kN. Based on the number of devices, select the cables with the largest temperature difference values ​​as the second batch of cables and continue with the second batch of tensioning.

[0059] like Figure 11 and Figure 12 As shown, the second batch of cables are numbered 10-12 and 19-21, with a cable force of 80 kN. After the second batch of cables was tensioned, the maximum mid-span displacement of the main cable structure was 64.1 mm. The calculated temperature at this time was higher than the target temperature for the second batch of cables; therefore, the target temperature was set to the current temperature of the second batch. Due to some deformation of the main structure after the second batch of cables was tensioned, the cable force of cables numbered 13-18 decreased. Among all cables, cables numbered 1-9 and 22-29 had a cable force of 0 kN, cables numbered 10-12 and 19-21 had a cable force of 80 kN, and cables numbered 13-18 had a cable force of approximately 65 kN.

[0060] Similarly, the third batch of cables was tensioned.

[0061] like Figure 13 and Figure 14As shown, the third batch of cables, numbered 7-9 and 22-24, has a cable force of approximately 78 kN. After the tensioning of the third batch of cables, the maximum mid-span displacement of the main cable structure is 79.5 mm. At this time, the calculated temperature of cable number 9 is higher than the target temperature of the third batch of cables, while the calculated temperatures of cables 7-8 and 22-24 are lower than the target temperatures. Therefore, the calculated temperature of cable number 9 in the third batch is set as the stage temperature, and the target temperatures of cables 7-8 and 22-24 are set as stage temperatures. Due to the deformation of the main structure after the tensioning of the third batch of cables, the cable force of cables numbered 10-21 is reduced. Among all cables, the cable force of cables numbered 1-6 and 25-29 is 0 kN, the cable force of cables numbered 7-9 and 22-24 is approximately 78 kN, the cable force of cables numbered 10-12 and 19-21 is approximately 72 kN, and the cable force of cables numbered 13-18 is approximately 56 kN.

[0062] Similarly, tensioning was performed on the fourth batch of cables.

[0063] like Figure 15 and Figure 16 As shown, the fourth batch of cables, numbered 4-6 and 25-27, has a tension of approximately 73 kN. After the fourth batch of cables was tensioned, the maximum mid-span displacement of the main cable structure was 86.9 mm. The calculated temperature at this point was higher than the target temperature for the fourth batch of cables; therefore, the target temperature for the fourth batch was set to the current temperature. Due to some deformation of the main structure after the fourth batch of cables was tensioned, the tension of cables numbered 7-24 decreased. Among all cables, the tension of cables numbered 1-3 and 28-29 was 0 kN, the tension of cables numbered 4-6 and 25-27 was approximately 72 kN, the tension of cables numbered 10-12 and 19-21 was approximately 68 kN, and the tension of cables numbered 13-18 was approximately 52 kN.

[0064] Similarly, tensioning was performed on the fifth batch of cables.

[0065] like Figure 17 and Figure 18As shown, the fifth batch of cables, numbered 1-3, 15, and 28-29, including cable number 15 from the first batch, underwent secondary tensioning, with a cable force of approximately 71 kN. After the tensioning of the fifth batch of cables, the maximum mid-span displacement of the main cable structure was 90.2 mm. The calculated temperature at this point was higher than the target temperature for the fifth batch of cables; therefore, the target temperature for the fifth batch was set to the current temperature. Due to some deformation of the main structure after the tensioning of the fifth batch of cables, the cable forces of cables numbered 4-14 and 16-27 decreased. Among all cables, the cable forces of cables numbered 1-3 and 28-29 were approximately 71 kN, those of cables numbered 4-9 and 22-27 were approximately 72 kN, those of cables numbered 10-12 and 19-21 were approximately 66 kN, and those of cables numbered 13-14 and 16-18 were approximately 51 kN.

[0066] Similarly, tensioning was performed on the sixth batch of cables.

[0067] like Figure 19 and Figure 20 As shown, the sixth batch of cables, numbered 12-14 and 16-18, includes some cables from the first and second batches undergoing secondary tensioning, with a cable force of approximately 71 kN. After the tensioning of the sixth batch of cables, the maximum mid-span displacement of the main cable structure was 96.3 mm. The calculated temperature at this point was higher than the target temperature for the sixth batch of cables; therefore, the target temperature for the sixth batch was set to the current temperature. Because the deformation of the main structure was relatively small after the tensioning of the sixth batch of cables, the cable forces of the remaining cables remained almost unchanged. Among all cables, those numbered 1-9, 12-18, and 22-29 had a cable force of approximately 71 kN, while those numbered 10-11 and 19-21 had a cable force of approximately 64 kN.

[0068] Similarly, tensioning was performed on the seventh batch of cables.

[0069] like Figure 21 and Figure 22 As shown, the seventh batch of cables is numbered 9-11 and 19-21. Some cables from the first and second batches were tensioned a second time. The cable tension was approximately 64 kN, and the tension was increased to 70 kN.

[0070] Step 6: The calculated temperature at this point is equal to the target temperature of the seventh batch of cables. Set the target temperature of the seventh batch as the stage temperature. After the tensioning of the seventh batch of cables is completed, the maximum displacement at mid-span of the main cable structure is 97.7 mm, the temperature difference between all cables is 0, and the cable tension reaches the target value.

[0071] At this point, the tensioning scheme for all cables is as follows: cable tensioning is divided into 7 batches, with 6 cables in each batch. The first batch of tensioning cables is numbered 13-18, the second batch is numbered 10-12 and 19-21, the third batch is numbered 7-9 and 22-24, the fourth batch is numbered 4-6 and 25-27, the fifth batch is numbered 1-3, 15 and 28-29, the sixth batch is numbered 12-14 and 16-18, and the seventh batch is numbered 9-11 and 19-21. The tension of all cables is 70 kN, and all cables are now tensioned.

[0072] The preferred embodiments of the present invention have been described in detail above. It should be understood that those skilled in the art can make numerous modifications and variations based on the concept of the present invention without creative effort. Therefore, all technical solutions that can be obtained by those skilled in the art based on the concept of the present invention through logical analysis, reasoning, or limited experimentation on the basis of existing technology should be within the scope of protection defined by the claims.

Claims

1. An automatic analysis method for the tensioning sequence of cable structures under limited equipment, characterized in that, The method is implemented in ANSYS software using the APDL language, and includes the following steps: S1. Establish a finite element model of the cable structure and use bar elements to simulate the cable force and tensioning process; S2. Based on the target cable structure, a cooling method is used to perform a form-finding analysis on the cable structure, and the deformation of the structure and the cable force after the cable tension is completed are calculated. The temperature corresponding to the cable force is the target temperature. S3. Set the stage temperature of all cables to 0, set the temperature parameter of the cables to the current stage temperature, and the difference between the stage temperature and the target temperature is the difference temperature. Sort the difference temperatures and select the cables with the largest difference temperature value as the first batch of cables according to the number of tensioning devices. S4. Apply cable force to the first batch of cables and perform iterative calculations to obtain the calculated temperature of the first batch of cables; if the calculated temperature is lower than the target temperature, set the calculated temperature as the stage temperature of the first batch of cables; if the calculated temperature is higher than the target temperature, set the target temperature as the stage temperature of the first batch of cables. S5. Update the temperature difference and sort the remaining cables. Select the cable with the largest temperature difference as the next batch of cables based on the number of tensioning devices. Apply cable force to the next batch of cables and perform iterative calculations. Obtain the stage temperature of the next batch according to the temperature judgment rule in S4. S6. Repeat the operation of S5 until the stage temperature of all cables is equal to the target temperature, the temperature difference is 0, and the cable force reaches the target cable force value. The tensioning sequence and cable force value of the cables are obtained. The tensioning sequence of the cables is automatically analyzed.

2. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, The rod unit mentioned in S1 is the Link10 unit.

3. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 2, characterized in that, The Link10 unit changes its length by adjusting the temperature parameter, thereby altering the cable force and tensioning process of the simulated cable.

4. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, The application of cable force as described in S4 includes: using the tension force within the tension range of the tensioning device as the cable force.

5. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 4, characterized in that, The applied cable force is the maximum tension of the tensioning device.

6. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, If the calculated temperature of the cable is lower than the target temperature in S4, the cable will be tensioned a second time.

7. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, The cable force is calculated based on the stage temperature of the cable.

8. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, The number of cables is less than the product of the number of cable tensioning devices and the number of cable tensioning batches.

9. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, The cables in later batches were derived from those in earlier batches.

10. The automatic analysis method for tensioning sequence of cable structures under limited equipment as described in claim 1, characterized in that, By adjusting the number and parameters of the tensioning equipment, the corresponding cable tensioning sequence can be obtained.

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